#include<bits/stdc++.h>
using namespace std;
#define fast ios::sync_with_stdio(false); cin.tie(0);
#define fi first
#define se second
#define all(v) (v).begin(), (v).end()
#define em emplace
#define eb emplace_back
#define mp make_pair
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
const ll INF = 1e18;
const int inf = 1e9;
const ll Mod = 1e9 + 7;
int n, m;
int a, b;
int p[100010];
ll sz[100010];
set<int> in[100010], out[100010];
ll ans;
vector<pii> q;
int Find(int a) {
return p[a] = a == p[a] ? a : Find(p[a]);
}
void Union(int a, int b) {
a = Find(a);
b = Find(b);
if(a == b) return;
if(sz[a] < sz[b]) swap(a, b);
ans -= sz[a] * (sz[a]-1) + sz[b] * (sz[b] - 1);
ans -= sz[a] * in[a].size();
ans -= sz[b] * in[b].size();
p[b] = a;
sz[a] += sz[b];
sz[b] = 0;
ans += sz[a] * (sz[a] - 1);
for(auto i : out[b]) {
if(Find(i) == a || Find(i) == b) continue;
out[a].insert(Find(i));
if(out[Find(i)].find(a) != out[Find(i)].end()) {
q.eb(a, Find(i));
}
}
out[b].clear();
for(auto i : in[b]) {
if(Find(i) == a) continue;
in[a].insert(i);
out[Find(i)].insert(a);
if(out[a].find(Find(i)) != out[a].end()) {
q.eb(a, Find(i));
}
}
in[b].clear();
vector<int> v;
for(auto i : in[a]) {
if(Find(i) == a) v.eb(i);
}
for(auto i : v) in[a].erase(i);
ans += sz[a] * in[a].size();
}
int main() {
fast;
cin >> n >> m;
for(int i=1; i<=n; i++)
p[i] = i, sz[i] = 1;
for(int i=1; i<=m; i++) {
cin >> a >> b;
if(Find(a) == Find(b) || in[Find(b)].find(a) != in[Find(b)].end()) {
cout << ans << "\n";
continue;
}
in[Find(b)].insert(a);
out[Find(a)].insert(Find(b));
ans += sz[Find(b)];
if(out[Find(b)].find(Find(a)) != out[Find(b)].end()) {
q.eb(a, b);
}
while(q.size()) {
auto x = q.back();
q.pop_back();
Union(x.fi, x.se);
}
cout << ans << "\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
9728 KB |
Output is correct |
2 |
Correct |
6 ms |
9728 KB |
Output is correct |
3 |
Correct |
7 ms |
9728 KB |
Output is correct |
4 |
Correct |
6 ms |
9728 KB |
Output is correct |
5 |
Correct |
7 ms |
9728 KB |
Output is correct |
6 |
Correct |
6 ms |
9728 KB |
Output is correct |
7 |
Correct |
7 ms |
9728 KB |
Output is correct |
8 |
Correct |
7 ms |
9728 KB |
Output is correct |
9 |
Correct |
8 ms |
9728 KB |
Output is correct |
10 |
Correct |
7 ms |
9728 KB |
Output is correct |
11 |
Correct |
6 ms |
9728 KB |
Output is correct |
12 |
Correct |
7 ms |
9728 KB |
Output is correct |
13 |
Correct |
8 ms |
9728 KB |
Output is correct |
14 |
Correct |
7 ms |
9728 KB |
Output is correct |
15 |
Correct |
7 ms |
9800 KB |
Output is correct |
16 |
Correct |
7 ms |
9728 KB |
Output is correct |
17 |
Correct |
7 ms |
9728 KB |
Output is correct |
18 |
Correct |
7 ms |
9728 KB |
Output is correct |
19 |
Correct |
7 ms |
9728 KB |
Output is correct |
20 |
Correct |
7 ms |
9728 KB |
Output is correct |
21 |
Correct |
8 ms |
9728 KB |
Output is correct |
22 |
Correct |
7 ms |
9728 KB |
Output is correct |
23 |
Correct |
8 ms |
9728 KB |
Output is correct |
24 |
Correct |
7 ms |
9728 KB |
Output is correct |
25 |
Correct |
7 ms |
9728 KB |
Output is correct |
26 |
Correct |
7 ms |
9728 KB |
Output is correct |
27 |
Correct |
8 ms |
9728 KB |
Output is correct |
28 |
Correct |
7 ms |
9728 KB |
Output is correct |
29 |
Correct |
7 ms |
9728 KB |
Output is correct |
30 |
Correct |
8 ms |
9728 KB |
Output is correct |
31 |
Correct |
7 ms |
9728 KB |
Output is correct |
32 |
Correct |
7 ms |
9728 KB |
Output is correct |
33 |
Correct |
8 ms |
9728 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
9728 KB |
Output is correct |
2 |
Correct |
6 ms |
9728 KB |
Output is correct |
3 |
Correct |
7 ms |
9728 KB |
Output is correct |
4 |
Correct |
6 ms |
9728 KB |
Output is correct |
5 |
Correct |
7 ms |
9728 KB |
Output is correct |
6 |
Correct |
6 ms |
9728 KB |
Output is correct |
7 |
Correct |
7 ms |
9728 KB |
Output is correct |
8 |
Correct |
7 ms |
9728 KB |
Output is correct |
9 |
Correct |
8 ms |
9728 KB |
Output is correct |
10 |
Correct |
7 ms |
9728 KB |
Output is correct |
11 |
Correct |
6 ms |
9728 KB |
Output is correct |
12 |
Correct |
7 ms |
9728 KB |
Output is correct |
13 |
Correct |
8 ms |
9728 KB |
Output is correct |
14 |
Correct |
7 ms |
9728 KB |
Output is correct |
15 |
Correct |
7 ms |
9800 KB |
Output is correct |
16 |
Correct |
7 ms |
9728 KB |
Output is correct |
17 |
Correct |
7 ms |
9728 KB |
Output is correct |
18 |
Correct |
7 ms |
9728 KB |
Output is correct |
19 |
Correct |
7 ms |
9728 KB |
Output is correct |
20 |
Correct |
7 ms |
9728 KB |
Output is correct |
21 |
Correct |
8 ms |
9728 KB |
Output is correct |
22 |
Correct |
7 ms |
9728 KB |
Output is correct |
23 |
Correct |
8 ms |
9728 KB |
Output is correct |
24 |
Correct |
7 ms |
9728 KB |
Output is correct |
25 |
Correct |
7 ms |
9728 KB |
Output is correct |
26 |
Correct |
7 ms |
9728 KB |
Output is correct |
27 |
Correct |
8 ms |
9728 KB |
Output is correct |
28 |
Correct |
7 ms |
9728 KB |
Output is correct |
29 |
Correct |
7 ms |
9728 KB |
Output is correct |
30 |
Correct |
8 ms |
9728 KB |
Output is correct |
31 |
Correct |
7 ms |
9728 KB |
Output is correct |
32 |
Correct |
7 ms |
9728 KB |
Output is correct |
33 |
Correct |
8 ms |
9728 KB |
Output is correct |
34 |
Correct |
11 ms |
9856 KB |
Output is correct |
35 |
Correct |
108 ms |
15176 KB |
Output is correct |
36 |
Correct |
141 ms |
17276 KB |
Output is correct |
37 |
Correct |
142 ms |
17268 KB |
Output is correct |
38 |
Correct |
135 ms |
17016 KB |
Output is correct |
39 |
Correct |
9 ms |
9984 KB |
Output is correct |
40 |
Correct |
10 ms |
9984 KB |
Output is correct |
41 |
Correct |
10 ms |
9984 KB |
Output is correct |
42 |
Correct |
9 ms |
9984 KB |
Output is correct |
43 |
Correct |
20 ms |
9984 KB |
Output is correct |
44 |
Correct |
19 ms |
9984 KB |
Output is correct |
45 |
Correct |
9 ms |
9984 KB |
Output is correct |
46 |
Correct |
10 ms |
9984 KB |
Output is correct |
47 |
Correct |
10 ms |
9940 KB |
Output is correct |
48 |
Correct |
10 ms |
9984 KB |
Output is correct |
49 |
Correct |
22 ms |
10496 KB |
Output is correct |
50 |
Correct |
143 ms |
17396 KB |
Output is correct |
51 |
Correct |
23 ms |
10240 KB |
Output is correct |
52 |
Correct |
126 ms |
16120 KB |
Output is correct |
53 |
Correct |
23 ms |
10496 KB |
Output is correct |
54 |
Correct |
131 ms |
16760 KB |
Output is correct |
55 |
Correct |
19 ms |
10240 KB |
Output is correct |
56 |
Correct |
20 ms |
10240 KB |
Output is correct |
57 |
Correct |
18 ms |
10240 KB |
Output is correct |
58 |
Correct |
18 ms |
10368 KB |
Output is correct |
59 |
Correct |
9 ms |
9856 KB |
Output is correct |
60 |
Correct |
92 ms |
14840 KB |
Output is correct |
61 |
Correct |
13 ms |
10016 KB |
Output is correct |
62 |
Correct |
135 ms |
16888 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
9728 KB |
Output is correct |
2 |
Correct |
6 ms |
9728 KB |
Output is correct |
3 |
Correct |
7 ms |
9728 KB |
Output is correct |
4 |
Correct |
6 ms |
9728 KB |
Output is correct |
5 |
Correct |
7 ms |
9728 KB |
Output is correct |
6 |
Correct |
6 ms |
9728 KB |
Output is correct |
7 |
Correct |
7 ms |
9728 KB |
Output is correct |
8 |
Correct |
7 ms |
9728 KB |
Output is correct |
9 |
Correct |
8 ms |
9728 KB |
Output is correct |
10 |
Correct |
7 ms |
9728 KB |
Output is correct |
11 |
Correct |
6 ms |
9728 KB |
Output is correct |
12 |
Correct |
7 ms |
9728 KB |
Output is correct |
13 |
Correct |
8 ms |
9728 KB |
Output is correct |
14 |
Correct |
7 ms |
9728 KB |
Output is correct |
15 |
Correct |
7 ms |
9800 KB |
Output is correct |
16 |
Correct |
7 ms |
9728 KB |
Output is correct |
17 |
Correct |
7 ms |
9728 KB |
Output is correct |
18 |
Correct |
7 ms |
9728 KB |
Output is correct |
19 |
Correct |
7 ms |
9728 KB |
Output is correct |
20 |
Correct |
7 ms |
9728 KB |
Output is correct |
21 |
Correct |
8 ms |
9728 KB |
Output is correct |
22 |
Correct |
7 ms |
9728 KB |
Output is correct |
23 |
Correct |
8 ms |
9728 KB |
Output is correct |
24 |
Correct |
7 ms |
9728 KB |
Output is correct |
25 |
Correct |
7 ms |
9728 KB |
Output is correct |
26 |
Correct |
7 ms |
9728 KB |
Output is correct |
27 |
Correct |
8 ms |
9728 KB |
Output is correct |
28 |
Correct |
7 ms |
9728 KB |
Output is correct |
29 |
Correct |
7 ms |
9728 KB |
Output is correct |
30 |
Correct |
8 ms |
9728 KB |
Output is correct |
31 |
Correct |
7 ms |
9728 KB |
Output is correct |
32 |
Correct |
7 ms |
9728 KB |
Output is correct |
33 |
Correct |
8 ms |
9728 KB |
Output is correct |
34 |
Correct |
11 ms |
9856 KB |
Output is correct |
35 |
Correct |
108 ms |
15176 KB |
Output is correct |
36 |
Correct |
141 ms |
17276 KB |
Output is correct |
37 |
Correct |
142 ms |
17268 KB |
Output is correct |
38 |
Correct |
135 ms |
17016 KB |
Output is correct |
39 |
Correct |
9 ms |
9984 KB |
Output is correct |
40 |
Correct |
10 ms |
9984 KB |
Output is correct |
41 |
Correct |
10 ms |
9984 KB |
Output is correct |
42 |
Correct |
9 ms |
9984 KB |
Output is correct |
43 |
Correct |
20 ms |
9984 KB |
Output is correct |
44 |
Correct |
19 ms |
9984 KB |
Output is correct |
45 |
Correct |
9 ms |
9984 KB |
Output is correct |
46 |
Correct |
10 ms |
9984 KB |
Output is correct |
47 |
Correct |
10 ms |
9940 KB |
Output is correct |
48 |
Correct |
10 ms |
9984 KB |
Output is correct |
49 |
Correct |
22 ms |
10496 KB |
Output is correct |
50 |
Correct |
143 ms |
17396 KB |
Output is correct |
51 |
Correct |
23 ms |
10240 KB |
Output is correct |
52 |
Correct |
126 ms |
16120 KB |
Output is correct |
53 |
Correct |
23 ms |
10496 KB |
Output is correct |
54 |
Correct |
131 ms |
16760 KB |
Output is correct |
55 |
Correct |
19 ms |
10240 KB |
Output is correct |
56 |
Correct |
20 ms |
10240 KB |
Output is correct |
57 |
Correct |
18 ms |
10240 KB |
Output is correct |
58 |
Correct |
18 ms |
10368 KB |
Output is correct |
59 |
Correct |
9 ms |
9856 KB |
Output is correct |
60 |
Correct |
92 ms |
14840 KB |
Output is correct |
61 |
Correct |
13 ms |
10016 KB |
Output is correct |
62 |
Correct |
135 ms |
16888 KB |
Output is correct |
63 |
Correct |
455 ms |
44664 KB |
Output is correct |
64 |
Correct |
454 ms |
44704 KB |
Output is correct |
65 |
Correct |
495 ms |
44536 KB |
Output is correct |
66 |
Correct |
218 ms |
20088 KB |
Output is correct |
67 |
Correct |
312 ms |
21128 KB |
Output is correct |
68 |
Correct |
198 ms |
20088 KB |
Output is correct |
69 |
Execution timed out |
5048 ms |
17096 KB |
Time limit exceeded |
70 |
Halted |
0 ms |
0 KB |
- |